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Finding the Third Proportional to 912,608 and 2,198,576

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Solution

The third proportional to 912,608 and 2,198,576 is: 5,296,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,608 : 2,198,576 = 2,198,576 : x
  2. Step 2: Convert to fraction form
    912,608/2,198,576 = 2,198,576/x
  3. Step 3: Cross multiply
    912,608x = 2,198,576 × 2,198,576
  4. Step 4: Simplify right side
    912,608x = 4,833,736,427,776
  5. Step 5: Solve for x
    x = 4,833,736,427,776/912,608
  6. Step 6: Final answer
    x = 5,296,618.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.